Hello can you help me please

Question

Solve the equation:
sqrt(5x−6)−9=-2

 

x=?

Answer 1

Solve for X

 

sqrt(5x-6)-9 = -2, Add +9 to both sides of the equation, sqrt(5x-6) -9+9 = -2+9, sqrt(5x-6) = +7.. Square both sides

 

(sqrt(5x-6))2 = 7² , (( 5x-6)^1/2)² = 49, (5x-6)^(1/2)(2) = 49 , 5x-6 = 49, add +6 to both sides, 5x-6+6 = 49+6

 

5x = 55, Divide by 5 both sides, (5/5)x = (55/5), x =11

 

Check by substituting 11 for x

 

sqrt(5(11)-6)-9 = sqrt ( 49) -9 = 7-9 = -2 .... Checks